Answer:
first option
Step-by-step explanation:
Given
f(x) = 
← factorise the numerator
= 
← cancel (x + 4) on numerator/ denominator
= 2x - 3
Cancelling (x + 4) creates a discontinuity ( a hole ) at x + 4 = 0, that is
x = - 4
Substitute x = - 4 into the simplified f(x) for y- coordinate
f(- 4) = 2(- 4) - 3 = - 8 - 3 = - 11
The discontinuity occurs at (- 4, - 11 )
To obtain the zero let f(x) = 0, that is
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 
There is a zero at ( , 0 )
Thus
discontinuity at (- 4, - 11 ), zero at ( , 0 )
Since this is a line it has a constant velocity or slope, and the line can be expressed as y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0)
m=(y2-y1)/(x2-x1)
m=(6--4)/(10-4)
m=10/6
m=5/3, using any point we can then find the y-intercept, I'll use (4,-4)
-4=5(4)/3+b
-4=(20+3b)/3
-12=20+3b
-32=3b
-32/3=b so our line is:
y=(5x-32)/3
So there are infinite points on the line segment defined by the equation above on the interval of x=[4,10]
A point? How about the midpoint...x=(4+10)/2=7
y(7)=(5*7-32)/3=1
(7,1)
Answer:
k=1
Step-by-step explanation:
Since the coefficient of 
is 1, that is what you put for k
Answer:
g(x) = 7(-x)³
Step-by-step explanation:
The cubic parent function is given as; f(x) = x³
Now, we are told that it reflects across the y-axis. This means that the new function will take the form;
g(x) = f(-x)
Thus, the new function is;
g(x) = (-x)³
Now,we are told that this new function stretches by multiplying by 7. Thus, we now have;
g(x) = 7(-x)³
Your answer is 97/500. I hope this has helped
